Chemical and Ionic Equilibrium 2 Question 12
12. How many litres of water must be added to $1 \mathrm{~L}$ of an aqueous solution of $\mathrm{HCl}$ with a $\mathrm{pH}$ of 1 to create an aqueous solution with $\mathrm{pH}$ of 2 ?
(2013 Main)
(a) $0.1 \mathrm{~L}$
(b) $0.9 \mathrm{~L}$
(c) $2.0 \mathrm{~L}$
(d) $9.0 \mathrm{~L}$
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Solution:
- $\mathrm{pH}=1 \therefore\left[\mathrm{H}^{+}\right]=10^{-1}=0.1 \mathrm{M}$
$$ \mathrm{pH}=2 \therefore\left[\mathrm{H}^{+}\right]=10^{-2}=0.01 \mathrm{M} $$
For dilution of $\mathrm{HCl}, M_{1} V_{1}=M_{2} V_{2}$
$$ \begin{aligned}
